Numerical predictions of natural convection in a trombe wall system

Abstract In a Trombe wall passive heating system, air from a room is circulated by natural convection through a narrow channel formed by a window on one side and a wall on the other. The circulating flow delivers the solar energy collected by the wall and window to the room. The present paper analyses an idealized Trombe wall system in which the flow is laminar and two-dimensional and the window and wall are isothermal. A dimensional analysis shows that, for a given geometry, the flow and heat transfer are characterized by two Rayleigh numbers. Flow and heat transfer predictions over a wide range of operating conditions were performed using a finite-volume method. These predictions are believed to be the first that fully account for the interaction between the room and channel, and which include the important case where the window temperature is lower than the room temperature.

[1]  H. Akbari,et al.  Free convective laminar flow within the Trombe wall channel , 1978 .

[2]  Gerry E. Schneider,et al.  NUMERICAL SOLUTION OF PROBLEMS IN INCOMPRESSIBLE FLUID FLOW: TREATMENT OF THE VELOCITY-PRESSURE COUPLING , 1979 .

[3]  Osamu Miyatake,et al.  Natural convective heat transfer between vertical parallel plates-one plate with a uniform heat flux and the other thermally insulated , 1974 .

[4]  O. Miyatake,et al.  Natural Convective Heat Transfer between Vertical Parallel Plates with Unequal Uniform Temperatures , 1973 .

[5]  Hiroshi Nakamura,et al.  HEAT TRANSFER BY FREE CONVECTION BETWEEN TWO PARALLEL FLAT PLATES , 1982 .

[6]  George D. Raithby,et al.  PREDICTION OF HEAT AND FLUID FLOW IN COMPLEX GEOMETRIES USING GENERAL ORTHOGONAL COORDINATES , 1986 .

[7]  W. Elenbaas Heat dissipation of parallel plates by free convection , 1942 .

[8]  George D. Raithby,et al.  IMPROVED FINITE-DIFFERENCE METHODS BASED ON A CRITICAL EVALUATION OF THE APPROXIMATION ERRORS , 1979 .

[9]  V. Sernas,et al.  Developing laminar free convection between vertical flat plates with asymmetric heating , 1972 .

[10]  G. D. Raithby,et al.  HEAT TRANSFER BY NATURAL CONVECTION ACROSS VERTICAL AIR LAYERS , 1981 .

[11]  Solar Houses for a Cold Climate , 1980 .

[12]  W. D Barreld,et al.  Numerical method for generating orthogonal curvilinear Meshes , 1970 .

[13]  J. F. Osterle,et al.  The Development of Free Convection Between Heated Vertical Plates , 1962 .

[14]  C. F Kettleborough,et al.  Transient laminar free convection between heated vertical plates including entrance effects , 1972 .

[15]  A. Akbarzadeh,et al.  Thermocirculation characteristics of a Trombe wall passive test cell , 1982 .

[16]  Tetsu Fujii,et al.  Free Convective Heat Transfer Between Vertical Parallel Plates , 1973 .

[17]  W. K. Mueller,et al.  An Analysis of Laminar Free and Forced Convection between Finite Vertical Parallel Plates , 1973 .

[18]  W. Aung Fully developed laminar free convection between vertical plates heated asymmetrically , 1972 .

[19]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[20]  J. A. Tichy The effect of inlet and exit losses on free convective laminar flow in the trombe wall channel , 1982 .